$1 \leftarrow$ Use the formula $\omega=\frac{\theta}{t}$ to find the value of the missing variable. $\theta=\frac{3 \pi}{4}$ radians, $t=5 \mathrm{sec}$ $\omega=$ rédians per sec (Type an exact answer, using $\pi$)

Step 1 ：Given that the formula for angular velocity is \(\omega=\frac{\theta}{t}\), where \(\theta\) is the angle in radians and \(t\) is the time in seconds.

Step 2 ：Substitute the given values into the formula: \(\theta = \frac{3 \pi}{4}\) radians and \(t = 5\) seconds.

Step 3 ：Calculate \(\omega\) to find the angular velocity: \(\omega = \frac{\frac{3 \pi}{4}}{5} = 0.471\) radians per second.

Step 4 ：Final Answer: \(\boxed{0.471}\) radians per sec.